diff --git a/Lib/ctypes/test/test_as_parameter.py b/Lib/ctypes/test/test_as_parameter.py
index f2fe10a955d763..de730e95bb6ae3 100644
--- a/Lib/ctypes/test/test_as_parameter.py
+++ b/Lib/ctypes/test/test_as_parameter.py
@@ -24,7 +24,7 @@ def test_wchar_parm(self):
         f.argtypes = [c_byte, c_wchar, c_int, c_long, c_float, c_double]
         result = f(self.wrap(1), self.wrap(u"x"), self.wrap(3), self.wrap(4), self.wrap(5.0), self.wrap(6.0))
         self.assertEqual(result, 139)
-        self.assertTrue(type(result), int)
+        self.assertIs(type(result), int)
 
     def test_pointers(self):
         f = dll._testfunc_p_p
diff --git a/Lib/test/test_pkg.py b/Lib/test/test_pkg.py
index 5f1659b0f6d847..ff05dce6830caa 100644
--- a/Lib/test/test_pkg.py
+++ b/Lib/test/test_pkg.py
@@ -134,7 +134,7 @@ def test_2(self):
 
         s = """
             from t2 import *
-            self.assertTrue(dir(), ['self', 'sub'])
+            self.assertEqual(dir(), ['self', 'sub'])
             """
         self.run_code(s)
 
diff --git a/Lib/test/test_test_support.py b/Lib/test/test_test_support.py
index 60476b7b7074bb..f9192a7c1f0aa8 100644
--- a/Lib/test/test_test_support.py
+++ b/Lib/test/test_test_support.py
@@ -267,7 +267,7 @@ def test_temp_cwd(self):
         with support.temp_cwd(name=TESTFN):
             self.assertEqual(os.path.basename(os.getcwd()), TESTFN)
         self.assertFalse(os.path.exists(TESTFN))
-        self.assertTrue(os.path.basename(os.getcwd()), here)
+        self.assertEqual(os.getcwd(), here)
 
 
     def test_temp_cwd__name_none(self):
diff --git a/Lib/test/test_warnings.py b/Lib/test/test_warnings.py
index ae081eeee3f75a..a9568f64c55bda 100644
--- a/Lib/test/test_warnings.py
+++ b/Lib/test/test_warnings.py
@@ -107,10 +107,14 @@ def test_always(self):
             self.module.resetwarnings()
             self.module.filterwarnings("always", category=UserWarning)
             message = "FilterTests.test_always"
-            self.module.warn(message, UserWarning)
-            self.assertTrue(message, w[-1].message)
-            self.module.warn(message, UserWarning)
-            self.assertTrue(w[-1].message, message)
+            def f():
+                self.module.warn(message, UserWarning)
+            f()
+            self.assertEqual(len(w), 1)
+            self.assertEqual(w[-1].message.args[0], message)
+            f()
+            self.assertEqual(len(w), 2)
+            self.assertEqual(w[-1].message.args[0], message)
 
     def test_default(self):
         with original_warnings.catch_warnings(record=True,